2100116102121 has 12 divisors (see below), whose sum is σ = 3033515735172. Its totient is φ = 1400070617376.

The previous prime is 2100116102111. The next prime is 2100116102197. The reversal of 2100116102121 is 1212016110012.

2100116102121 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 11 + 610 + 21 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1336021586496 + 764094515625 = 1155864^2 + 874125^2 .

It is not a de Polignac number, because 2100116102121 - 2⁹ = 2100116101609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2100116102094 and 2100116102103.

It is not an unprimeable number, because it can be changed into a prime (2100116102111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2015215 + ... + 2874251.

It is an arithmetic number, because the mean of its divisors is an integer number (252792977931).

Almost surely, 2^{2100116102121} is an apocalyptic number.

It is an amenable number.

2100116102121 is a deficient number, since it is larger than the sum of its proper divisors (933399633051).

2100116102121 is a wasteful number, since it uses less digits than its factorization.

2100116102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130680 (or 1130677 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

The spelling of 2100116102121 in words is "two trillion, one hundred billion, one hundred sixteen million, one hundred two thousand, one hundred twenty-one".